Frequency
rpdtorps
Convert revolutions per day (rpd) to revolutions per second (rps).
Factor1 rpd = 1.157407e-5 rps
Converter
rpd
Accepts numbers or expressions, e.g. 150 + 14.7
Result
rps
Rendered to 6 significant figures.
Formula
Formula
rps = rpd × 1.157407e-5
Multiply any value in revolutions per day by 1.157407e-5 to obtain the value in revolutions per second.
Worked example
Convert 86400 rpd to rps.
- 01Start with 86400 rpd.
- 02Multiply by the conversion factor: 86400 × 1.157407e-5 = 1 rps.
Result86400 rpd = 1 rps
Conversion table
| rpd | rps |
|---|---|
| 1 | 1.1574e-5 |
| 2 | 2.3148e-5 |
| 5 | 5.787e-5 |
| 10 | 0.00011574 |
| 20 | 0.00023148 |
| 50 | 0.0005787 |
| 100 | 0.0011574 |
| 200 | 0.0023148 |
| 500 | 0.005787 |
| 1000 | 0.011574 |
Reference values rounded to 5 significant figures for display.
FAQ
What is the conversion factor from rpd to rps?
1 rpd equals 1.157407e-5 rps. To convert, multiply the value in revolutions per day by 1.157407e-5.
How do I convert 1 rpd to rps?
1 rpd = 1.15741e-5 rps. For any value, multiply by 1.157407e-5.
How do I convert rps back to rpd?
Divide by the same factor — or equivalently, multiply by 86400. So 1 rps = 86400 rpd.
When would I need to convert revolution per day to revolution per second?
Frequency conversions between rpd and rps are needed in signal and RF engineering, motor and turbomachinery rotational-speed work, vibration and pulse-rate analysis, and control-loop sample-rate specification. Hz dominates electronics and instrumentation; kHz, MHz and GHz cover audio through microwave; rpm and rps dominate mechanical rotational equipment; cycles per minute, second and hour cover slow industrial cyclic processes. Angular frequency (rad/s) and time-period (Hz ↔ seconds) conversions are NOT included — they require either a 2π factor or a reciprocal relationship.
Is the conversion exact?
The factor shown is precise to at least 7 significant figures. For most process-engineering work this is far better than instrument accuracy. For metrology or trade applications, refer to the relevant national standard (NIST, BIPM, ISO 80000).